河南省信阳市固始县城南永和高级中学2021-2022学年高一下学期第四次月考物理试题(wd无答案)

河南省信阳市固始县高级中学2023-2024学年高一下学期期末教学质量检测数学试题一、单选题1．复数312i 1iz +=-（i 为虚数单位）在复平面内对应的点位于（ ）A ．第一象限B ．第二象限C ．第三象限D ．第四象限2．已知α，β是平面，m ，n 是直线，下列命题中不正确的是（ ） A ．若//m α，n αβ=I ，则//m n B ．若//m n ，m α⊥，则n α⊥ C ．若m α⊥，m β⊥，则//αβ D ．若m α⊥，m β⊂，则αβ⊥3．已知向量()2,m λ=r ，()2,4n λ=--r ，若m r与n r 共线且反向，则实数λ的值为（ ）A ．4B ．2C ．2-D ．2-或44．甲、乙两名运动员在一次射击训练中各射靶20次，命中环数的频率分布条形图如下．设甲、乙命中环数的众数分别为Z 甲，Z 乙，方差分别为2s 甲，2s 乙，则（ ）A ．Z Z =甲乙，22s s >乙甲B ．Z Z =甲乙，22s s <甲乙C ．Z Z >甲乙，22s s >乙甲 D ．Z Z <甲乙，22s s >乙甲5．已知函数π())(0,||)2f x x ωϕωϕ=+><的部分图象如图所示，若将函数()f x 的图象向右平移(0)θθ>个单位后所得曲线关于y 轴对称，则θ的最小值为（ ）A ．π8B ．π4C ．3π8 D ．π26．已知α，π0,2β⎛⎫∈ ⎪⎝⎭，()3cos cos cos αβαβ+=，则()tan αβ+的最小值是（ ）A ．B ．C ．D ．7．已知正三棱台111ABC A B C -的体积为523，6AB =，112A B =，则1A A 与平面ABC 所成角的正切值为（ ） A ．12B ．1C ．2D ．38．已知边长为2的菱形ABCD 中，点F 为BD 上一动点，点E 满足3BE EC =u u u r u u u r ，12AE BD ⋅=-u u u r u u u r ，则AF BE ⋅u u u r u u u r的最大值为（ ）A ．0B ．23C ．43D ．3二、多选题9．一个平面截正方体所得的截面图形可以是（ ） A ．等边三角形B ．正方形C ．梯形D ．正五边形10．若1b c >>，01a <<，则下列结论正确的是（ ）A ．a a b c <B ．log log b c a a >C ．a a cb bc <D ．log log c b b a c a >11．在锐角ABC V 中，设a ，b ，c 分别表示角A ，B ，C 对边，1a =，cos cos 1b A B -=，则下列选项正确的有（ ）A ．2B A =B ．b 的取值范围是)C ．当32b =时ABC VD ．若当,A B 变化时，2sin 2sin B A λ-存在最大值，则正数λ的取值范围为⎛ ⎝⎭三、填空题12．若函数tan y x ω=在ππ,44⎡⎤-⎢⎥⎣⎦上为严格增函数，则实数ω的取值范围是.13．已知函数()f x 是偶函数，对任意x ∈R ，均有()()2f x f x =+，当[]0,1x ∈时，()1f x x =-，则函数()()()5log 1g x f x x =-+的零点有个.14．已知正方体1111ABCD A B C D -的棱长均为2．以11A D 为半径的球面与侧面11B BCC 的交线长为．四、解答题15．已知()()4,3,23213a b a b a b ==-⋅+=r r rr r r ．(1)求a r 与b r的夹角；(2)若a r 在b r 方向上的投影向量为c r，求()c a b ⋅+r r r 的值．16．在ABC V 中，内角,,A B C 的对边分别为,,,a b c ABC V 的面积为S ，已知2c =，且224a b +=+． (1)求C ；(2)a -的取值范围．17．为迎接冬季长跑比赛，重庆八中对全体高二学生举行了一次关于冬季长跑相关知识的测试，统计人员从高二学生中随机抽取100名学生的成绩作为样本进行统计，测试满分为100分，统计后发现所有学生的测试成绩都在区间[]40,100内，并制成如图所示的频率分布直方图．(1)估计这100名学生的平均成绩；(2)若在区间[)70,80内的学生测试成绩的平均数和方差为74和26，在区间[]80,100内的学生测试成绩的平均数和方差为89和106，据此估计在[]70,100内的所有学生测试成绩的平均数和方差．18．已知函数()()212cos 1sin 2cos 42f x x x x =-+，求：（1）()f x 的最小正周期及最大值；（2）若,2παπ⎛⎫∈ ⎪⎝⎭且()f α=，求α的值；（3）若()210f x m -+=，在0,4x π⎡⎤∈⎢⎥⎣⎦有两个不等的实数根，求m 的取值范围.19．在直角梯形ABCD 中，,22AD BC BC AD AB ===∥90ABC ∠=︒（如图1），把△ABD 沿BD 翻折，使得A ∉平面BCD ，连接AC ，M ，N 分别是BD 和BC 中点（如图2）．(1)证明：平面BCD ⊥平面AMN ；(2)记二面角A —BC —D 的平面角为θ，当平面BCD ⊥平面ABD 时，求tan θ的值； (3)若P 、Q 分别为线段AB 与DN 上一点，使得()R AP NQPB QDλλ==∈（如图3），令PQ 与BD 和AN 所成的角分别为1θ和2θ，求12sin sin θθ+的取值范围．。

河南省信阳高级中学2021-2022学年高一下学期第四次月考英语试题学校:___________姓名：___________班级：___________考号：___________一、单项选择A．carrying B．to carry C．carried D．carryA．giving B．to give C．being given D．having givenA．to stand B．stands C．standing D．standA．is B．were C．to be D．beingA．consisting of B．consisted of C．made up of D．making up of 6．The police charged the thief ________ stealing the jewels.A．of B．with C．for D．toA．followed B．following C．to follow D．having followed 8．More time ________, we should have done it much better.A．to give B．gives C．given D．givingA．with B．for C．against D．toA．to B．of C．in D．/A．would climb B．had climbed C．to climb D．will climbA．a.B．the C．/D．anA．letting B．to let C．lets D．having letA．to burn B．burning C．burns D．burntA．of B．at C．for D．toA．where B．which C．what D．whenA．to B．at C．of D．inA．About B．For C．In D．Of19．The school decided to adopt the approach to ________ the problem.A．solve B．solved C．solving D．solvesA．at B．with C．to D．in二、用单词的适当形式完成句子式填空）22．Whatever happens, don’t involve me in (solve) your problem. (所给词的适当形式填空)23．What made the composers ad was that he had his bike (steal) （用所给词的适当形式填空）24．I’m joyous to know you have in me. (faithfully) （用所给词的适当形式填空）25．Do you know the man to is our head teacher? (reference) （用所给词的适当形式填空）26．I don't agree with the he took in the meeting.（act）（用所给词的适当形式填空）27．If you think what you are doing is right, don’t be hesitant (do) it. （用所给词的适当形式填空）28．Hearing the news, the woman struggled to her (foot). （用所给词的适当形式填空）29．Please accept the gift in appreciation all you have done for us. (用适当的词填空)30．I really appreciate working with someone who does such a (strike) job. （用所给词的适当形式填空）三、阅读理解You probably know who Marie Curie was, but you may not have heard of Rachel Carson. Of the outstanding ladies listed below, who do you think was the most important woman of the past 100 years?Jane Addams(1860-1935)Anyone who has ever been helped by a social worker has Jane Addams to thank. Addams helped the poor and worked for peace. She encouraged a sense of community(社区)by creating shelters and promoting education and services for people in need. In 1931,Addams became the first American woman to win the Nobel Peace Prize.Rachel Carson(1907-1964)If it weren’t for Rachel Carson, the environmental movement might not exist today. Her popular 1962 book Silent Spring raised awareness of the dangers of pollution and the harmful effects of chemicals on humans and on the world’s lakes and oceans.Sandra Day O’Connor(1930-present)When Sandra Day O’Connor finished third in her class at Stanford Law School, in 1952,she could not find work at a law firm because she was a woman. She became an Arizona state senator(参议员) and ,in 1981, the first woman to join the U.S. Supreme Court. O’Connor gave the deciding vote in many important cases during her 24 years on the top court.Rosa Parks(1913-2005)On December 1,1955,in Montgomery, Alabama, Rosa Parks would not give up her seat on a bus to a white passenger. Her simple act landed Parks in prison. But it also set off the Montgomery bus boycott. It lasted for more than a year, and kicked off the civil-rights movement. “The only tired I was, was tired of giving in,” said Parks.31．What is Jane Addams noted for in history?A．Her social work.B．Her teaching skills.C．Her efforts to win a prize.D．Her community background.32．Who made a great contribution to the civil-rights movement in the U.S.?A．Jane Addams.B．Rachel Carson.C．Sandra Day O’Connor.D．Rosa Park.33．What can we infer about the women mentioned in the text?A．They are highly educated.B．They are truly creative.C．They are pioneers.D．They are peace-lovers.Minutes after the last movie ended yesterday at the Plaza Theater, employees were busy sweeping up popcorns and gathering coke cups. It was a scene that had been repeated many times in the theater’s 75-year history. This time, however, the cleanup was a little different. As one group of workers carried out the rubbish, another group began removing seats and other theater equipment in preparation for the building’s end.The film classic The Last Picture Show was the last movie shown in the old theater. Though the movie is 30 years old, most of the 250 seats were filled with teary-eyed audience wanting to say good-bye to the old building. Theater owner Ed Bradford said he chose the movie because it seemed appropriate. The movie is set in a small town where the only movie theater is preparing to close down.Bradford said that large modern theaters in the city made it impossible for the Plaza to compete. He added that the theater’s location(位置)was also a reason. “This used to be the center of town,” he said. “Now the area is mostly office buildings and warehouses.”Last week some city officials suggested the city might be interested in turning the old theater into a museum and public meeting place. However, these plans were abandoned because of financial problems. Bradford sold the building and land to a local development firm, which plans to build a shopping complex on the land where the theater is located.The theater audience said good-bye as Bradford locked the doors for the last time. After 75 years the Plaza Theater had shown its last movie. The theater will be missed34．In what way was yesterday’s cleanup at the Plaza special?A．It made room for new equipment.B．It signaled the closedown of the theater.C．It was done with the help of the audience.D．It marked the 75th anniversary of the theater.35．Why was The Last Picture Show put on?A．It was an all-time classic.B．It was about the history of the town.C．The audience requested it.D．The theater owner found it suitable.36．What will probably happen to the building?A．It will be repaired.B．It will be turned into a museum.C．It will be knocked down.D．It will be sold to the city government.37．What can we infer about the audience?A．They are disappointed with Bradford.B．They are sad to part with the old theater.C．They are supportive of the city officials.D．They are eager to have a shopping center.Before the 1830s, most newspapers were sold through annual subscriptions in America, usually $8 to $10 a year. Today $8 or $10 seems a small amount of money, but at that time these amounts were forbidding to most citizens. Accordingly, newspapers were read almost only by rich people in politics or the trades. In addition, most newspapers had little in them that would appeal to a mass audience. They were dull and visually forbidding. But the revolution that was taking place in the 1830s would change all that.The trend, then, was toward the “penny paper”—a term referring to papers made widely available to the public. It meant any inexpensive newspaper; perhaps more importantly it meant newspapers that could be bought in single copies on the street.This development did not take place overnight. It had been possible(but not easy) to buy single copies of newspapers before 1830, but this usually meant the reader had to go down to the printer’s office to purchase a copy. Street sales were almost unknown. However, within a few years, street sales of newspapers would be commonplace in eastern cities. At first the price of single copies was seldom a penny—usually two or three cents was charged—and some of the older well-known papers charged five or six cents. But the phrase “penny paper” caught the public’s fancy, and soon there would be papers that did indeed sell for only a penny.This new trend of newspapers for “the man on the street” did not begin well. Some ofthe early ventures(企业) were immediate failures. Publishers already in business, people who were owners of successful papers, had little desire to change the tradition. It took a few youthful and daring businessmen to get the ball rolling.38．Which of the following best describes newspapers in America before the 1830s?A．Academic.B．Unattractive.C．Inexpensive.D．Confidential. 39．What did street sales mean to newspapers?A．They would be priced higher.B．They would disappear from cities.C．They could have more readers.D．They could regain public trust. 40．Who were the newspapers of the new trend targeted at?A．Local politicians.B．Common people.C．Young publishers.D．Rich businessmen.41．What can we say about the birth of the penny paper?A．It was a difficult process.B．It was a temporary success.C．It was a robbery of the poor.D．It was a disaster for printers.We’ve all been there: in a lift, in line at the bank or on an airplane, surrounded by people who are, like us, deeply focused on their smartphones or, worse, struggling with the uncomfortable silence.What’s the problem? It’s possible that we all have compromised conversational intelligence. It’s more likely that none of us start a conversation because it’s awkward and challenging, or we think it’s annoying and unnecessary. But the next time you find yourself among strangers, consider that small talk is worth the trouble. Experts say it’s an invaluable social practice that results in big benefits.Dismissing small talk as unimportant is easy, but we can’t forget that deep relationships wouldn’teven exist if it weren’t for casual conversation. Small talk is the grease(润滑剂) for social communication, says Bernardo Carducci, director of the Shyness Research Institute at Indiana University Southeast. ＂Almost every great love story and each big business deal begins with small talk,＂he explains. ＂The key to successful small talk is learning how to connect with others, not just communicate with them.＂In a 2014 study, Elizabeth Dunn, associate professor of psychology at UBC, invited people on their way into a coffee shop. One group was asked to seek out an interaction(互动)with its waiter; the other, to speak only when necessary. The results showed that those who chatted with their server reported significantly higher positive feelings and a better coffee shop experience. ＂It’s not that talking to the waiter is better than talking to your husband,＂says Dunn. ＂But interactions with peripheral(边缘的) members of our social network matter for our well-being also.＂Dunn believes that people who reach out to strangers feel a significantly greater sense of belonging, a bond with others. Carducci believes developing such a sense of belonging starts with small talk. ＂Small talk is the basis of good manners,＂he says.42．What phenomenon is described in the first paragraph?A．Addiction to smartphones.B．Inappropriate behaviours in public places.C．Absence of communication between strangers.D．Impatience with slow service.43．What is important for successful small talk according to Carducci?A．Showing good manners.B．Relating to other people.C．Focusing on a topic.D．Making business deals.44．What does the coffee-shop study suggest about small talk?A．It improves family relationships.B．It raises people’s confidence.C．It matters as much as a formal talk.D．It makes people feel good.45．What is the best title for the text?A．Conversation Counts B．Ways of Making Small TalkC．Benefits of Small Talk D．Uncomfortable Silence四、七选五Today it is common to see people who walk about with colored wires hanging from their ears wherever they go. They move about in their personal bubbles，sometimes unaware of“them”?For me, walking around in my own personal bubble is perfect. 47 What’s even better, wearing earphones seems to give a signal to people which says：“I'm not available for chatting at the moment.”Suppose you’re at work and about to make an incredible breakthrough，but a colleague suddenly turns up. At this precise moment，the slightest disturbance would break your concentration. 48 Once again，those wires hanging from your ears would be sure to give that “Go away!” signal.49 It’s probably part of the growing up stage when they just want to ignore their whole family. While their mothers give them lectures about why they should do their homework，they can just turn up the volume on their MP3 player, smile and say “Yes, Mum.” Problem solved.Pretty soon，not only will we have pretty colored wires hanging from our ears，but also our brains will be directly plugged into some new high-tech instrument. We’ll be in a virtual world，communicating with everyone else，as we like. In this world，we will all be permanently plugged in. 50 And they are changing our social habits along the way.In the end, there is a thin line between using technology as a tool for making life better and being a slave to it! It’s so strange—suddenly. I don’t feel like wearing my earphones anymore.A．Our instruments are changing quickly.B．I also have wires hanging from my ears.C．In the home situation，teenagers love these wires.D．I don’t have to deal with the noise from the environment.E．After all，I am listening to my favourite music and would rather not be disturbed.F．They walk around in their own spaces, with their personal “digital noise reduction systems”.G．Listening to music through earphones is one of the perfect ways to ignore such interruptions.五、完形填空outbreak since the pandemic emerged more than two years ago, are retiring for the night,automotive (汽车的) parts.He told us in the past he finished work at about 7 pm, but during the pandemic, he does not return to the 55 provided by the logistics’ company until after midnight. “We all want to deliver as many supplies as quickly as possible to 56 in lockdown,” Long said.All the drivers in his company are on call at night to 57 urgent deliveries are completed, eating and taking naps in the trucks have become their 58 . And to ensure driving 59 , Long and eight colleagues have been 60 by the company to take turns to work the early and late shifts, stopping for a 61 every few hours.Long admitted he feels 62 . “But I can 63 — it’s what I should do during the pandemic, and what I have done so far that embody (体现) my personal 64 ,” he said. He also added that he is able to persevere (坚持) in the fight against COVID-19 because of his family’s understanding, support and 65 .Recalling the day he delivered supplies to his own 66 , Long was a little upset: “It’s hard to 67 my feelings at that time. Although I was so close to my family members, I couldn’t 68 them. But my wife encouraged me, telling me not to worry about her and the children and also 69 me to protect myself when I made deliveries. From that moment on, there have been just two things on my mind — that the outbreak will 70 as quickly as possible and that I can soon get together with my family members again.”51．A．who B．that C．which D．where 52．A．running B．living C．moving D．operating 53．A．Until B．Before C．During D．After 54．A．buy B．repair C．sell D．deliver 55．A．home B．dormitory C．truck D．tent 56．A．workers B．residents C．drivers D．volunteers 57．A．ensure B．protect C．defend D．avoid 58．A．rule B．tradition C．observation D．routine 59．A．safety B．speed C．test D．quality 60．A．elected B．permitted C．appointed D．forced 61．A．dinner B．coffee C．break D．test 62．A．excited B．exhausted C．interested D．disappointed63．A．carry on B．carry out C．carry away D．carry off 64．A．hobbies B．experiences C．reasons D．values 65．A．hardwork B．company C．encouragement D．reunion 66．A．neighborhood B．city C．company D．homeland 67．A．control B．describe C．show D．ignore 68．A．find B．see C．contact D．touch 69．A．warming B．noticing C．informing D．reminding 70．A．complete B．end C．continue D．prevent六、用单词的适当形式完成短文阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。

河南省信阳市固始县永和高中联考2023-2024学年高一下学期7月期末考试数学试题一、单选题1．已知集合305x A xx ⎧⎫-=≤⎨⎬-⎩⎭，集合{}46B x x =<<，则A B =I （ ） A ．()3,6B ．[)3,6C ．(]4,5D ．()4,52．已知()1i i z -=，则复数z 在复平面内对应的点位于（ ） A ．第一象限B ．第二象限C ．第三象限D ．第四象限3．在平行四边形ABCD 中，11,24BE BC AF AE ==u u u r u u u r u u u r u u u r ．若AB mDF nAE =+u u u r u u u r u u u r，则m n -=（ ）A ．12B ．34C ．56-D ．38-4．为了得到函数3sin2y x =的图象，只需将函数3sin 25y x π⎛⎫=+ ⎪⎝⎭的图象（ ）A ．向右平移10π个单位长度B ．向右平移5π个单位长度 C ．向左平移10π个单位长度 D ．向左平移5π个单位长度5．若3sin 3cos 022ππαα⎛⎫⎛⎫++-= ⎪ ⎪⎝⎭⎝⎭，则tan2α=（ ）A ．43-B ．43C ．34-D ．346．设四棱台1111ABCD A B C D -的上、下底面积分别为1S ，2S ，侧面积为S ，若一个小球与该四棱台的每个面都相切，则（ ） A ．212S S S = B ．12S S S =+C ．S =D =7．抛掷两枚质地均匀的骰子1次，记A =“出现点数之和为偶数”，B =“出现点数之积为偶数”，则（ ） A ．()()P A P B = B ．()34P A B ⋃=C ．()14P AB =D ．()()1P A P B +=8．一组样本数据12,,,n x x x ⋅⋅⋅的平均数为()0x x ≠，标准差为s .另一组样本数据1n x +，2n x +，…，2n x 的平均数为3x ，标准差为s .两组数据合成一组新数据12,,,n x x x ⋅⋅⋅，1n x +，…，2n x ，新数据的平均数为y ，标准差为s '，则（ ） A ．s s '> B ．s s '=C ．s s '<D ．s '与s 的大小与n 有关二、多选题9．设1z ，2z 是复数，则下列命题中正确的是（ ） A ．若1z 是纯虚数，则210z >B ．若22120z z +=，则120z z == C ．若12z z =，则1122z z z z ⋅=⋅D ．若复数1z 满足11z =，则12z i +的最大值为310．从19:这9个整数中随机取1个数，记,M N 是此试验中的两个事件，且满足()13P M =，()23P N =，则下列说法正确的是（ ） A ．M 与N 是对立事件 B ．若M N ⊆，则()13P MN =C ．若()19P MN =，则M 与N 相互独立 D ．若()1P M N ⋃=，则M 与N 互斥 11．如图所示，扇形OAB 的半径2π4,,3OA AOB C ∠==是弧AB 的中点，点,D E 是线段,OB OA 上的动点且满足||||OD AE =u u u r u u u r ，则CD CE ⋅u u u r u u u r的值可以是（ ）A ．6B ．8C ．D ．三、填空题12．已知()()2,7,,3a b x ==-r r ，且a r 与b r夹角为钝角，则x 的取值范围.13．已知四棱锥P ABCD -的底面ABCD 是边长为2的正方形，侧面PAB ⊥底面ABCD ，且4PA PB ==，则该四棱锥P ABCD -的外接球的表面积为.14．如图，在ABC V 中，2,3==AB AC BC ，点D 在边BC 上（与,B C 不重合），延长AD 到P ，使得AP =8，若4(3PA mPB m PC m ⎛⎫=+- ⎪⎝⎭u u u r u u u r u u ur 为常数)，则CD 的长度为.四、解答题15．已知i 是虚数单位，复数()()22562i z m m m m =-++-，m ∈R ．(1)当复数z 为实数时，求m 的值； (2)当复数z 为纯虚数时，求m 的值；16．已知向量()31a =-r ，，()12b =-r ，，()R m a kb k =+∈r r r ． (1)若m r 与向量2a b -r r 垂直，求实数k 的值；(2)若向量()11c =-r ，，且m r 与向量kb c +r r 平行，求实数k 的值，并判断这时m r 与向量kb c +r r 同向还是反向．17．如图所示，在平行四边形ABCD 中，A ＝45°，AB =，E 为AB 的中点，将△ADE 沿直线DE 翻折成△PDE ，使平面PDE ⊥平面BCD ，F 为线段PC 的中点．(1)证明：//BF 平面PDE ；(2)已知M 为线段DE 的中点，求直线MF 与平面PDE 所成的角的正切值．18．生物医药的开发和应用对解决全球性疾病具有重要意义，生物医药的开发可以帮助解决全球范围内存在的疑难杂症，如癌症、艾滋病、糖尿病等，同时也可以为未来的新病毒和新疾病提供有效的治疗手段.而试验是生物制药中不可缺少的重要环节.某生物制药公司对甲、乙两种新药物的某项指标值（T ）进行实验.对注射甲种药物的20只小白鼠，测量得出该项指标值T 的数据并绘制表格如图1；对注射乙种药物的30只小白鼠，测量得出该项指标值T 的数据并绘制频率分布直方图如图2.临床观察表明当T 值越大，药物对病毒的抑制效果越好.当T 值大于40时，认为药物有效；当T 值大于80时，认为药效显著.（假设同一组中的每个数据可用该组区间的中间值代替）.(1)求图2中a 的值以及注射乙种药物指标值T 的中位数；(2)若按分层抽样从注射甲、乙两种药物且药效显著的样本中抽取5件，再从这5件中抽取2件样本作进一步临床实验.记事件A 表示“2件样本均是来自注射同一种药物的实验组”，事件B 表示“2件样本中至少有1件样本来自注射乙药物的实验组”，求()P AB ；(3)从注射甲药物有效组中随机抽取10个样本1210,,,x x x L .其指标值T 平均数为73.5x =，方差21120.75s =；从注射乙药物的有效组中随机抽取20个样本1220,,,y y y L .其指标值T 平均数为82.5y =，方差22110.25s =.计算上述30个样本数据均值ω，方差2s .19．如图，E 为线段AD 的中点，C 为DA 延长线上的一点，以A 为圆心，AE 长度为半径作半圆，B 为半圆上一点，连接BC ，BD ．(1)若2AD =，以BD 为边作正三角形BFD ，求四边形ABFD 面积的最大值； (2)在ABC V 中，记BAC ABC ACB ∠∠∠，，的对边分别为a ，b ，c ，且满足2()c b b a += ①求证：2BAC ABC ∠=∠； ②求4cos c bb ABC+∠的最小值．。

固始县永和高中联考2023-2024学年下期期末考试高一语文试题卷注意事项：本试卷分试题卷和答题卡两部分。

考试时间150分钟，满分150分。

考生应首先阅读答题卡上的文字信息，然后在答题卡上作答。

在试题卷上作答无效。

一、现代文阅读（35分）（一）现代文阅读I（本题共5小题，19分）阅读下面的文字，完成1～5小题。

材料一：近年来，迅猛发展的AIGC（生成式人工智能）开始广泛应用于广电行业。

广电是以内容引领的技术密集型行业。

基于大数据模型的AIGC 不仅能根据指令快速完成策划选题、筛选热点、剪辑素材等工作，还可以高效创建文字、图像、音视频等优质内容。

借助于AIGC，广电行业正突破以往的产制流程，凝聚起一种兼具效率和质量的新质生产力。

这种新质生产力催生出一系列音视频作品，为观众奉献一幕幕“视听奇观”。

例如，总台运用“央视听媒体大模型”创作的AIGC动画《千秋诗颂》，以中国古诗词为蓝本，通过向AI模型“投喂”大量解读诗词意境的精准数据，生成了彰显中华文化气质的国风内容。

中国神话系列微短剧《补天》则实现美术、分镜、视频、配音、配乐全部由AI完成，借助AI的技术想象力将神话传说中蕴含的中华文明密码娓娓道来。

此外，AIGC还可应用于纪录片译制领域，利用智能化工具协助声音识别、文本翻译、声线克隆、分轨替换等环节而推出的英文版微纪录片《来龙去脉》，不仅高度还原中文原片的文案和旁白风格，还通过人机协同模式降低了成本，提升了译制精准度。

除了接替幕后工作，AIGC也日益活跃在“台前”，多家广电机构相继布局打造以AIGC为依托的“数字人”。

这些“数字人”不仅可以进行新闻播报，还能参与综艺节目录制，或是在影视剧中客串角色。

在今年全国两会期间，北京广电、深圳广电、山东广电的数字主播纷纷亮相，结合MG动画、3D呈现、XR数字演播等技术，为大众带来具有新鲜感的两会解读。

在综艺《我们仁》中，湖南广电推出的“爱芒”以助理导演的身份参与节目录制，在剧本分析、嘉宾选角、互动策划、视频剪辑等方面发挥作用。

一、单选题二、多选题1. 设P 、Q 是R 上的两个非空子集，如果存在一个从P 到Q 的函数满足：（1）；（2）对任意，当时，恒有，那么称这两个集合构成“恒等态射”，以下集合可以构成“恒等态射”的是（ ）A．B．C．D．2. 已知命题，，则为（ ）A．，B ．，C ．，D ．，3. 函数的大致图象为A．B．C．D．4. 设、、依次表示函数，，的零点，则、、的大小关系为（ ）．A．B．C．D．5.已知，则（ ）A．B．C．D．6. 定义集合运算:.设,,则集合的所有元素之和为（ ）A ．0B ．2C ．3D ．67. 已知函数的图象关于直线对称，则的值为（ ）A．B．C．D．8.已知复数（为虚数单位），则（ ）A ．1B ．2C ．3D ．49.已知向量，，函数则下列选项正确的（ ）A ．函数是偶函数B ．函数的值域为C ．函数在区间内所有零点之和为D．将函数图象上各点横坐标变为原来的2倍（纵坐标不变），再将所得图象上各点向下平移个单位长度，最后将所得图象向左平移个单位长度，可得函数的图象10. 如图，点在正方体的面对角线上运动，则其中正确的结论是（ ）河南省百所名校2021-2022学年高一下学期第四次大联考数学试题河南省百所名校2021-2022学年高一下学期第四次大联考数学试题三、填空题四、解答题A ．三棱锥的体积不变B．平面C．与平面所成角的正弦值最大值为D ．平面平面11.如图，正方形的边长为1，分别为的中点，将正方形沿对角线折起，使点不在平面内，则在翻折过程中，以下结论正确的是（）A ．异面直线与所成的角为定值B ．存在某个位置，使得直线与直线垂直C ．三棱锥与体积之比值为定值D．四面体的外接球体积为12.已知函数，则下列结论正确的是（ ）A．函数的一个周期为B ．函数在上单调递增C．函数的最大值为D ．函数图象关于直线对称13.已知函数的图象关于点中心对称，若，，使得，则的最大值是______．14.已知是奇函数，且当时，，若，则__________.15. 不等式的解集为__．16. 随着科技的发展，网购已经逐渐融入了人们的生活．在家里面不用出门就可以买到自己想要的东西，在网上付款即可，两三天就会送到自己的家门口，如果近的话当天买当天就能送到，或者第二天就能送到，所以网购是非常方便的购物方式．某公司组织统计了近五年来该公司网购的人数（单位：人）与时间（单位：年）的数据，列表如下：123452427416479（1）依据表中给出的数据，是否可用线性回归模型拟合与的关系，请计算相关系数并加以说明（计算结果精确到0.01）．（若，则线性相关程度很高，可用线性回归模型拟合）附：相关系数公式，参考数据（2）建立关于的回归方程，并预测第六年该公司的网购人数（计算结果精确到整数）．（参考公式：，17. 已知数列的前项和为，且，．(1)求数列的通项公式；(2)在数列中，，求数列的前项和．18. 已知函数(且)．（1）讨论函数的单调性；（2）若函数有两个零点、()，且，证明：．19. 已知数列是公差为2的等差数列，其前3项的和为12，是公比大于0的等比数列，，.(1)求数列和的通项公式；(2)若数列满足，求的前项和.20. 如图在多面体中，，平面，为等边三角形，，，，点M是AC的中点.(1)若点G是的重心，证明：点G在平面内；(2)求点G到的距离.21. 网购是当前民众购物的新方式，某公司为改进营销方式，随机调查了100名市民，统计其周平均网购的次数，并整理得到如下的频数分布直方图.这100名市民中，年龄不超过40岁的有65人，将所抽样本中周平均网购次数不小于4次的市民称为网购迷，且已知其中有5名市民的年龄超过40岁.（1）根据已知条件完成下面的列联表，能否在犯错误的概率不超过0.10的前提下认为网购迷与年龄不超过40岁有关？网购迷非网购迷合计年龄不超过40岁年龄超过40岁合计（2）若从网购迷中任意选取2名，求其中年龄超过40岁的市民人数的分布列.(附：)0.150.100.050.012.072 2.7063.841 6.635。

2024年4月信阳市固始县永和高中高中一年级下学期语文期中考试试卷---考试科目：语文考试时间：120分钟年级：高中一年级总分：100分---一、选择题（每题2分，共20分）1. 下列诗句中，描述春天景色的是：A. 红豆生南国B. 竹外桃花三两枝C. 关山难越D. 白日依山尽2. 《论语》中，孔子提到的“仁者爱人”主要指的是：A. 对别人施以恩惠B. 尊重他人C. 对他人有宽容心D. 对他人有爱心3. 《红楼梦》中，贾宝玉的主要情感对象是：A. 林黛玉B. 薛宝钗C. 王熙凤D. 王夫人4. 《史记》的作者是：A. 司马迁B. 杜甫C. 屈原D. 白居易5. 下列哪部作品是鲁迅所著：A. 《离骚》B. 《呐喊》C. 《水浒传》D. 《西厢记》6. 《诗经》中“窈窕淑女”的意思是：A. 聪明机智的女子B. 美丽温柔的女子C. 勤劳善良的女子D. 矜持害羞的女子7. 《西游记》中，唐僧的四大弟子分别是：A. 孙悟空、猪八戒、沙僧、白龙马B. 孙悟空、猪八戒、沙僧、小白龙C. 孙悟空、沙僧、白龙马、红孩儿D. 孙悟空、白龙马、猪八戒、小龙女8. 《离骚》的作者是：A. 屈原B. 李白C. 杜甫D. 白居易9. 《西厢记》中的爱情故事发生在：A. 河南B. 山西C. 四川D. 北京10. 《儒林外史》的作者是：A. 吴敬梓B. 曹雪芹C. 蒲松龄D. 罗贯中---二、填空题（每题2分，共20分）11. 《桃花源记》的作者是______，作品通过描写桃花源的______，表达了对______的向往。

12. 《蒹葭》一诗中“蒹葭苍苍，白露为霜”一句表现了对心上人的______。

13. 《长恨歌》讲述了唐玄宗与______的爱情故事。

14. 《论语》中“学而时习之，不亦说乎？”主要强调了______的重要性。

15. 古文《出塞》中提到的“白头发”是用来比喻______的。

16. 《西游记》中，唐僧师徒四人一路上克服了______个困难。

2024年4月信阳市固始县永和高中高中一年级下学期历史期中考试试卷---考试科目：历史考试时间：120分钟年级：高中一年级总分：100分---一、选择题（每题2分，共20分）1. 中国古代的第一个中央集权的封建王朝是：A. 夏朝B. 商朝C. 周朝D. 秦朝答案：D2. 《史记》的作者是：A. 司马光B. 司马迁C. 赵匡胤D. 范仲淹答案：B3. 近代中国历史上的第一次鸦片战争发生于：A. 1840年B. 1860年C. 1911年D. 1937年答案：A4. 谁领导了中国共产党创建初期的第一次全国代表大会？A. 毛泽东B. 周恩来C. 李大钊D. 陈独秀答案：D5. 中国封建社会的最高统治者是：A. 皇帝B. 大将军C. 君主D. 宰相答案：A6. 影响中国历史的“三纲五常”思想最早由谁提出？A. 孔子B. 孟子C. 老子D. 庄子答案：A7. 明朝的建立者是：A. 朱元璋B. 李自成C. 刘邦D. 成吉思汗答案：A8. 在《南京条约》中，中国被迫开放了哪些港口？A. 广州、上海、厦门B. 南京、广州、宁波C. 上海、天津、福州D. 上海、广州、宁波答案：D9. 辛亥革命的直接原因是：A. 清朝腐败B. 外国列强侵略C. 民族资本主义发展D. 武昌起义答案：D10. “义和团”运动发生在：A. 19世纪末B. 20世纪初C. 17世纪末D. 18世纪中期答案：A---二、填空题（每空2分，共20分）11. 春秋时期的著名历史学家是_________。

答案：左丘明12. 唐朝时期的科举制度由_________设立。

答案：隋文帝13. 明朝末期，______领导了农民起义，推翻了明朝的统治。

答案：李自成14. “五四运动”的发生时间是_________年。

答案：191915. 清朝末期，签订不平等条约《天津条约》的国家是_________。

答案：英国16. 《中庸》的作者是_________。

答案：子思17. 第二次鸦片战争中的主要条约是_________。

固始县永和高中联考2023-2024学年下期期末考试高一化学试题卷注意事项:本试卷分第I 卷(选择题)和第Ⅱ卷(非选择题)两部分。

考试时间90分钟，满分100分。

考生应首先阅读答题卡上的文字信息,然后在答题卡上作答,在试题卷上作答无效。

交卷时只交答题卡。

相对原子质量:H-1 C-12 N-14 O-16 Na-23 Al-27 S-32第I 卷一、选择题(共16小题,每小题3分,共48分。

每小题只有一个选项符合题意。

) 1．民以食为天，《黄帝内经》说：“五谷为养，五果为助，五畜为益，五菜为充”。

下列说法正确的是A ．“五谷”富含淀粉，淀粉是天然高分子化合物B ．“五果”富含糖类，其中的葡萄糖、蔗糖都能发生水解反应C ．“五畜”富含油脂和蛋白质，它们的组成元素相同D ．“五菜”富含纤维素，纤维素不属于糖类物质 2．下列表示正确的是 A ．羟基的电子式为B ．正丁烷的球棍模型C ．乙醇的分子式为25C H OHD ．乙烷的结构式为33CH CH -3．工业上可以利用乙烯与水的加成反应制取乙醇，其化学方程式是22232CH CH H O CH CH OH =+−−−−→催化剂加热、加压。

下列反应与该反应类型相同的是 A ．423CH Cl CH Cl HCl +→+光B ．38222C H 5O 3CO 4H O +−−−→+点燃C ．22222CH CH Br CH BrCH Br =+→D ．3233232CH CH OH CH COOHCH COOCH CH H O ++浓硫酸△4．已知反应()()()()22NO g CO g NO g CO g +=+的能量变化如图所示，下列说法中正确的是A ．图中A→B 的过程为放热过程 B ．加入催化剂不能改变反应的热效应C ．断开21mol NO 和1mol CO 的化学键吸收的能量总和大于生成1mol NO 和21mol CO 时放出的能量总和D ．()21mol NO g 和()1mol CO g 的总能量小于()1mol NO g 和()21mol CO g 的总能量 5．一种矿物由短周期元素W 、X 、Y 组成，溶于稀盐酸有无色无味气体生成。

河南省信阳市永和高级中学2021-2022学年高一化学联考试卷含解析一、单选题（本大题共15个小题，每小题4分。

在每小题给出的四个选项中，只有一项符合题目要求，共60分。

）1. 下列各组离子中，能在溶液中大量共存的是A.H＋、Na＋、HCO3-、Cl-B.Ba2＋、Na＋、OH-、Cl-C.Ag＋、K＋、NO3-、CO32-D.Cu2＋、Ag＋、Cl-、OH-参考答案：B2. 以下反应最符合绿色化学原子经济性要求的是（）① 乙烷与氯气制备一氯乙烷② 乙烯聚合为聚乙烯高分子材料③ 苯和硝酸反应制备硝基苯④ 乙烯与氧气在银催化作用下生成环氧乙烷A．①④ B．①③ C．②③D．②④参考答案：D略3. 广义的水解观认为：无论是盐的水解还是非盐的水解，其最终结果是反应中各物质和水分别离解成两部分，然后两两重新组合成新的物质。

根据上述观点，说法不正确的是（）A．BaO2的水解产物是Ba(OH)2和H2O2 B．PCl3的水解产物是HClO和H3PO4C．A14C3的水解产物是Al(OH)3和CH4 D．CH3COCl的水解产物是两种酸参考答案：B略4. 下列说法或表示方法中正确的是（）A. 等质量的硫蒸气和硫黄分别完全燃烧，后者放出的热量多B. 氢气的燃烧热为285．5 kJ/mol，则氢气燃烧的热化学方程式为：2H2（g）＋O2（g）＝2H2O（l）ΔH＝－285．5 kJ/molC. Ba（OH）2·8H2O（s）＋2NH4Cl（s）＝BaCl2（s）＋2NH3（g）＋10H2O（l）ΔH＜0D. 已知中和热为57．3 kJ/mol，若将含0．5 mol H2SO4的浓溶液与含1 mol NaOH的溶液混合，放出的热量要大于57．3 kJ参考答案：DA、硫蒸气比硫固体所含能量高，等质量的硫蒸气和硫黄分别完全燃烧，前者放出的热量多，A错误；B、燃烧热是指1mol可燃物燃烧生成稳定氧化物时放出的热量，热化学方程式中氢气是2mol，B 错误；C、氯化铵和氢氧化钡反应吸热，△H＞0，C错误；D、浓硫酸溶于水放热，实际放出的热量大于57.3kJ，D正确；答案选D。